Results 31 to 40 of about 43,460 (287)
Lifts of convex sets and cone factorizations [PDF]
, 2012 In this paper we address the basic geometric question of when a given convex set is the image under a linear map of an affine slice of a given closed convex cone.
Barvinok A +6 more
core +4 more sources
A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles
, 2017 We use convex polyhedral cones to study a large class of multivariate meromorphic germs, namely those with linear poles, which naturally arise in various contexts in mathematics and physics.
Guo, Li, Paycha, Sylvie, Zhang, Bin
core +1 more source
On the spherical convexity of quadratic functions [PDF]
, 2018 In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and ...
Ferreira, O. P., Németh, S. Z.
core +2 more sources
Novel Functional Materials via 3D Printing by Vat Photopolymerization
Advanced Functional Materials, EarlyView.This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov +3 more
wiley +1 more source
Cones of Hilbert functions [PDF]
, 2014 We study the closed convex hull of various collections of Hilbert functions. Working over a standard graded polynomial ring with modules that are generated in degree zero, we describe the supporting hyperplanes and extreme rays for the cones generated by
G. Smith, Gregory, Mats Boij
core +1 more source
Dispensing Volumetric Additive Manufacturing
Advanced Functional Materials, EarlyView.Dispensing volumetric additive manufacturing (DVAM) prints 3D structures inside a photocurable resin droplet suspended from the tip of a glass pipette, enabling sequential printing without resin vats or manual part removal. Real‐time droplet profiling and ray‐tracing‐based correction compensate for optical distortion at the curved resin‐air interface ...
Hongryung Jeon +5 more
wiley +1 more source
Convex cones of generalized multiply monotone functions and the dual cones
, 2015 Let $n$ and $k$ be nonnegative integers such that $1\le k\le n+1$. The convex cone $\mathcal{F}_+^{k:n}$ of all functions $f$ on an arbitrary interval $I\subseteq\mathbb{R}$ whose derivatives $f^{(j)}$ of orders $j=k-1,\dots,n$ are nondecreasing is ...
Pinelis, Iosif
core +1 more source
Lattice-like operations and isotone projection sets [PDF]
, 2013 By using some lattice-like operations which constitute extensions of ones introduced by M. S. Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the subject of isotonicity of the metric projection onto the closed convex ...
Németh, A. B., Németh, S. Z.
core +1 more source
Bioprinting Organs—Science or Fiction?—A Review From Students to Students
Advanced Healthcare Materials, EarlyView.Bioprinting artificial organs has the potential to revolutionize the medical field. This is a comprehensive review of the bioprinting workflow delving into the latest advancements in bioinks, materials and bioprinting techniques, exploring the critical stages of tissue maturation and functionality.
Nicoletta Murenu +18 more
wiley +1 more source
Inequalities for Convex Functions on Simplexes and Their Cones
Abstract and Applied Analysis, 2014 The aim of this paper is to present the fundamental inequalities for convex functions on Euclidean spaces. The work is based on the geometry of the simplest convex sets and properties of convex functions.
Zlatko Pavić, Shanhe Wu
doaj +1 more source